SOLUTION: Vitamin World is one of the largest manufacturer and distributor of vitamins. The quality control department has noted that the bottles of vitamins marked 6 ounces vary in content

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Question 868543: Vitamin World is one of the largest manufacturer and distributor of vitamins. The quality control department has noted that the bottles of vitamins marked 6 ounces vary in content with a standard deviation of 0.3 ounces. Assume the contents of the bottles are normally distributed.
a. What percentage of all bottles produced contains more than 6.51 ounces of vitamins?
b. What percentage of all bottles produced contains less than 5.415 ounces?
c. What percentage of bottles produced contains between 5.46 and 6.495 ounces?
d. What percentage of the bottles contains between 6.3 and 6.6 ounces?

Answer by ewatrrr(24785)   (Show Source): You can put this solution on YOUR website!

Hi
P(x > 6.51) = normalcdf(6.51,100,6,.3) |100 a placeholder
p(x < 5.415) = normalcdf(-100,5.415,6,.3)
P(5.46 ≤ x ≤ 6.495)= normalcdf(5.46,6.495,6,.3)
P(6.3 ≤ x ≤ 6.6)= normalcdf(6.3,6.6,6,.3)
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